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Finding the Fourth Proportional to 897.87, 1,238.34 and 698.29

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Solution

The fourth proportional to 897.87, 1,238.34 and 698.29 is: 963.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.87 : 1,238.34 = 698.29 : x
  2. Step 2: Convert to fraction form
    897.87/1,238.34 = 698.29/x
  3. Step 3: Cross multiply
    897.87x = 1,238.34 × 698.29
  4. Step 4: Simplify right side
    897.87x = 864,720.44
  5. Step 5: Solve for x
    x = 864,720.44/897.87
  6. Step 6: Final answer
    x = 963.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.